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SSC Quantitative Aptitude Pipes & Cisterns Question Bank Pipe and Cistern (II)

  • question_answer
    Three pipes A, B, C can fill a tank in 6 h. After working at it together for 2 h, C is closed and A and B can fill the remaining part in 7 h. The number of hours taken by C alone to fill the tank is

    A) 10

    B) 12

    C) 14

    D) 16

    Correct Answer: C

    Solution :

    [c] Part filled by \[(A+B+C)\]in 2 h \[=\left( \frac{1}{6}\times 2 \right)=\frac{1}{3}\] \[\frac{2}{3}\]part is filled by \[(A+B)\]in 7 h. Whole is filled by \[(A+B)\]in \[\left( 7\times \frac{3}{2} \right)\,h=\frac{21}{2}\,h\] Part filled by C in \[1\,\,h\left( \frac{1}{6}-\frac{2}{21} \right)\] \[=\frac{3}{42}=\frac{1}{14}\] \[\therefore \]C alone can fill it in 14 h.


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